Question

-8)

1. The area of a circle is 36 cm².
(a) Find the radius of the circle.
(b)
Find the circumference of the circle.

Answer 1

The radius of the circle is 3 cm and the circumference is approximately 18.85 cm.

Step-by-step explanation:

To find the radius of the circle, we can use the formula for the area of a circle:

A = πr^2, where A is the area and r is the radius.

Given that the area is 36 cm², we can rearrange the formula to solve for r:

36 = πr^2
r^2 = 36/π
r = sqrt(36/π)
r = 3 cm (rounded to the nearest whole number)

To find the circumference of the circle, we can use the formula:

C = 2πr, where C is the circumference and r is the radius.

Substituting the value of r (3 cm) into the formula, we get:

C = 2π(3)
C = 6π
C ≈ 18.85 cm (rounded to two decimal places)

Therefore, the radius of the circle is 3 cm and the circumference is approximately 18.85 cm.

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